Simplify 76/208 to Lowest Terms
76/208 simplified to its lowest terms is 19/52 (or 0.365385 in decimal). See how to reduce 76/208 using Greatest Common Divisor (GCD = 4).
Exact Answer
76/208 = 19/52
Simplified Fraction
19/52
Mixed Number
Proper (19/52)
Decimal Value
0.365385
Percentage
36.5385%
Step-by-Step Solution: 76/208 = 19/52
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 76:
• Factors of 208:
• Factors of 76:
1, 2, 4, 19, 38, 76• Factors of 208:
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
GCD(76, 208) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (76) and denominator (208) by 4.
76 ÷ 4/208 ÷ 4 = 19/52
Visual Representation
The diagram below illustrates Simplify 76/208 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 19/52 |
| Mixed Number Form | 19/52 |
| Decimal Form | 0.365385 |
| Percentage | 36.5385% |
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Frequently Asked Questions
What is 76/208 in simplest form?
76/208 simplified to lowest terms is 19/52.
What is the GCD (GCF) of 76 and 208?
The Greatest Common Divisor (GCD) of 76 and 208 is 4.
What are equivalent fractions to 76/208?
Equivalent fractions to 76/208 include 38/104, 57/156, and 76/208.